This volume constitutes the Proceedings of the IUTAM Symposium on 'Nonlinear Analysis of Fracture', held in Cambridge from 3rd to 7th Septem­ ber 1995. Its objective was to assess and place on record the current state of understanding of this important class of phenomena, from the standpoints of mathematics, materials science, physics and engineering. All fracture phenomena are nonlinear; the reason for inclusion of this qualification in the title was to reflect the intention that emphasis should be placed on distinctive aspects of nonlinearity, not only with regard to material consti­ tutive behaviour but also with regard to insights gained, particularly from the mathematics and physics communities, during the recent dramatic ad­ vances in understanding of nonlinear systems in general. The expertise represented in the Symposium was accordingly very wide, and many of the world's greatest authorities in their respective fields participated. The Symposium remained focussed on issues of practical significance for fracture phenomena, with concentration on aspects that are still im­ perfectly understood. The most significant unifying issue in this regard is that of scale: this theme was addressed from several perspectives. One important aspect is the problem of passing information on one scale up or down, as an input for analysis at another scale. Although this is not always the case, it may be that the microscopic process of fracture is understood in some particular class of materials.

Inhalt

Preface. Scaling in Nonlinear Fracture Mechanics; Z.P. Bazant. Scaling Effects in The Fracture of Quasi-Brittle Materials and Structures; B.L. Karihaloo. Constraint Estimation for Edge Cracked Bend Bars; A.D. Karstensen, et al. Finite Element Analysis of a Bi-Material SENT Specimen under Elastic-Plastic Loading; N.P. O'Dowd, et al. Geometry and Size Effects in Ductile Fracture - FEM Studies and Theoretical Considerations; O. Kolednik, et al. Mechanism-Based Cell Models for Fracture in Ductile and Ductile/Brittle Regimes; C.F. Shih, et al. Effects of Size Scale on Fracture Processes in Engineering Materials; J.F. Knott. Closing in on the Crack Tip; J.W. Hutchinson. Relations Between Crack Growth Resistance and Fracture Process Parameters under Large Scale Yielding; V. Tvergaard. The Effect of Geometry and Size on the Growth of Ductile Fracture; B. Cotterell, et al. Interfacial Cracking in Thermomechanically Loaded Elastoplastic Bimaterials; K.P. Herrmann, T. Hauck. Conditions of Crack Arrest by Interfaces; J. Lemaitre. Dynamic Crack Growth in Inelastic Solids with Application to Adiabatic Shearbands; S. Nemat-Nasser. Dynamically Growing Shear Bands in Metal: A Study of Transient Temperature and Deformation Fields; A.J. Rosakis, et al. The Two-Dimensional Structure of Dynamic Boundary Layers and Shear Bands in Thermoviscoplastic Solids; G. Gioia, M. Ortiz. Earthquakes, Fracture, Complexity; D.L. Turcotte. Micro-Branching as an Instability in Dynamic Fracture; J. Fineberg, et al. Instabilities in Dynamic Fracture; J.S. Langer. Radial Crack Dynamics with Closure; L.I. Slepyan, J.P. Dempsey. Numerical Studies of Fast Crack Growth in Elastic-Plastic Solids; T. Siegmund, A. Needleman. Dynamic Crack Growth in Viscoplastic Materials; D. Gross, et al. Near-Tip Fields for Cracks in Materials with Strain Gradient Effects; Y. Huang, et al. Non-Linear Damage Evolution and Failure in Materials; W.A. Curtin, et al. Structure-Sensitive Properties of Materials; P.M. Duxbury, et al. The Statistics of Failure Probability in Heterogeneous Materials; P.L. Leath, N.-N. Chen. Computer Modelling of Disordered Plastic and Viscoelastic Systems; K. Kaski, et al. Kinetic Transitions in Ensembles of Defects (Microcracks) and Some Nonlinear Aspects of Fracture; O.B. Naimark. On Continued Void Growth in Ductile Metals Subjected to Cyclic Loadings; J. Devaux, et al. Phase Transitions in Fracture and Crystallization Processes; L.R. Botvina. Nonlinear Crack-Bridging Problems; L.R.F. Rose. Notch Strength of Ceramic Composites: Long Fibers, Stochastics, Short Fibers; B. Budiansky, J.C. Amazigo. Nonlinear Analysis of Interfacial Cracks; N.J.-J. Fang, J.L. Bassani. Matrix Cracking in Ceramic Matrix Composites with Creeping Fibers; B.N. Cox, et al. Fiber Fragmentation in a Single Filament Composite and the Strength of Fiber-Reinforced Ceramics; S.L. Phoenix, et al. Predicting Non-Linear Behaviour in Multiple-Ply Cross-Ply Laminates Resulting from Micro-Cracking; L.N. McCartney. Appendix: The Scientific Programme.